Hamilton is expected to be in the lineup at DH on Friday night versus Colorado Springs.
Hamilton, who has been on the disabled list since sustaining a hairline fracture of his right humerus bone while sliding home April 12 in Detroit, was 0-for-3 with a walk, RBI, and two runs scored in his second game as DH on minor league rehab assignment Thursday at Double-A Frisco.
In two games with Frisco, Hamilton was 2-for-7 with a homer and three RBIs.
Cruz will also head to Triple-A Round Rock on Friday to continue his rehab assignment instead of joining the Rangers in Philadelphia this weekend.
Club officials said they want Cruz to get more at-bats and make sure his timing is good before he returns to the lineup. He did not play Thursday night in Double-A Frisco, but he did spend part of the day taking extra batting practice and working out.
Cruz is rehabbing from a strained right quadriceps muscle and was placed on the disabled list May 7 (retroactive to May 4). He was 2-for-11 with a double and an RBI in three rehab games in Double-A. He was 0-for-4 on Wednesday in his first action in right field.
Cruz was hitting .219 with seven homers and 18 RBIs in 30 games before the injury.
Information from ESPNDallas.com's Richard Durrett was used in this report.